What is the Least Common Multiple of 45972 and 45988?

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 of 45972 and 45988 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45972 and 45988, than apply into the LCM equation.

GCF(45972,45988) = 4
LCM(45972,45988) = ( 45972 × 45988) / 4
LCM(45972,45988) = 2114160336 / 4
LCM(45972,45988) = 528540084

Least Common Multiple (LCM) of 45972 and 45988 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45972 and 45988. First we will calculate the prime factors of 45972 and 45988.

Prime Factorization of 45972

Prime Factorization of 45988

Now multiplying the highest exponent prime factors to calculate the LCM of 45972 and 45988.

LCM(45972,45988) = 2² × 3² × 1277¹ × 11497¹
LCM(45972,45988) = 528540084