What is the Least Common Multiple of 45972 and 45978?

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 45978 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 45978, than apply into the LCM equation.

GCF(45972,45978) = 6
LCM(45972,45978) = ( 45972 × 45978) / 6
LCM(45972,45978) = 2113700616 / 6
LCM(45972,45978) = 352283436

Least Common Multiple (LCM) of 45972 and 45978 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45972 and 45978. First we will calculate the prime factors of 45972 and 45978.

Prime Factorization of 45972

Prime Factorization of 45978

Now multiplying the highest exponent prime factors to calculate the LCM of 45972 and 45978.

LCM(45972,45978) = 2² × 3² × 1277¹ × 79¹ × 97¹
LCM(45972,45978) = 352283436