What is the Least Common Multiple of 45988 and 46002?
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 45988 and 46002 is 1057769988.
LCM(45988,46002) = 1057769988
Least Common Multiple of 45988 and 46002 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45988 and 46002, than apply into the LCM equation.
GCF(45988,46002) = 2
LCM(45988,46002) = ( 45988 × 46002) / 2
LCM(45988,46002) = 2115539976 / 2
LCM(45988,46002) = 1057769988
Least Common Multiple (LCM) of 45988 and 46002 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 45988 and 46002. First we will calculate the prime factors of 45988 and 46002.
Prime Factorization of 45988
Prime factors of 45988 are 2, 11497. Prime factorization of 45988 in exponential form is:
45988 = 22 × 114971
Prime Factorization of 46002
Prime factors of 46002 are 2, 3, 11, 17, 41. Prime factorization of 46002 in exponential form is:
46002 = 21 × 31 × 111 × 171 × 411
Now multiplying the highest exponent prime factors to calculate the LCM of 45988 and 46002.
LCM(45988,46002) = 22 × 114971 × 31 × 111 × 171 × 411
LCM(45988,46002) = 1057769988
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