What is the Least Common Multiple of 18077 and 18096?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 18077 and 18096 is 327121392.
LCM(18077,18096) = 327121392
Least Common Multiple of 18077 and 18096 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18077 and 18096, than apply into the LCM equation.
GCF(18077,18096) = 1
LCM(18077,18096) = ( 18077 × 18096) / 1
LCM(18077,18096) = 327121392 / 1
LCM(18077,18096) = 327121392
Least Common Multiple (LCM) of 18077 and 18096 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18077 and 18096. First we will calculate the prime factors of 18077 and 18096.
Prime Factorization of 18077
Prime factors of 18077 are 18077. Prime factorization of 18077 in exponential form is:
18077 = 180771
Prime Factorization of 18096
Prime factors of 18096 are 2, 3, 13, 29. Prime factorization of 18096 in exponential form is:
18096 = 24 × 31 × 131 × 291
Now multiplying the highest exponent prime factors to calculate the LCM of 18077 and 18096.
LCM(18077,18096) = 180771 × 24 × 31 × 131 × 291
LCM(18077,18096) = 327121392
Related Least Common Multiples of 18077
- LCM of 18077 and 18081
- LCM of 18077 and 18082
- LCM of 18077 and 18083
- LCM of 18077 and 18084
- LCM of 18077 and 18085
- LCM of 18077 and 18086
- LCM of 18077 and 18087
- LCM of 18077 and 18088
- LCM of 18077 and 18089
- LCM of 18077 and 18090
- LCM of 18077 and 18091
- LCM of 18077 and 18092
- LCM of 18077 and 18093
- LCM of 18077 and 18094
- LCM of 18077 and 18095
- LCM of 18077 and 18096
- LCM of 18077 and 18097
Related Least Common Multiples of 18096
- LCM of 18096 and 18100
- LCM of 18096 and 18101
- LCM of 18096 and 18102
- LCM of 18096 and 18103
- LCM of 18096 and 18104
- LCM of 18096 and 18105
- LCM of 18096 and 18106
- LCM of 18096 and 18107
- LCM of 18096 and 18108
- LCM of 18096 and 18109
- LCM of 18096 and 18110
- LCM of 18096 and 18111
- LCM of 18096 and 18112
- LCM of 18096 and 18113
- LCM of 18096 and 18114
- LCM of 18096 and 18115
- LCM of 18096 and 18116