What is the Least Common Multiple of 60273 and 60277?
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 60273 and 60277 is 3633075621.
LCM(60273,60277) = 3633075621
Least Common Multiple of 60273 and 60277 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60273 and 60277, than apply into the LCM equation.
GCF(60273,60277) = 1
LCM(60273,60277) = ( 60273 × 60277) / 1
LCM(60273,60277) = 3633075621 / 1
LCM(60273,60277) = 3633075621
Least Common Multiple (LCM) of 60273 and 60277 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60273 and 60277. First we will calculate the prime factors of 60273 and 60277.
Prime Factorization of 60273
Prime factors of 60273 are 3, 37, 181. Prime factorization of 60273 in exponential form is:
60273 = 32 × 371 × 1811
Prime Factorization of 60277
Prime factors of 60277 are 7, 79, 109. Prime factorization of 60277 in exponential form is:
60277 = 71 × 791 × 1091
Now multiplying the highest exponent prime factors to calculate the LCM of 60273 and 60277.
LCM(60273,60277) = 32 × 371 × 1811 × 71 × 791 × 1091
LCM(60273,60277) = 3633075621
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