What is the Least Common Multiple of 45978 and 45996?

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 45978 and 45996 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45978 and 45996, than apply into the LCM equation.

GCF(45978,45996) = 6
LCM(45978,45996) = ( 45978 × 45996) / 6
LCM(45978,45996) = 2114804088 / 6
LCM(45978,45996) = 352467348

Least Common Multiple (LCM) of 45978 and 45996 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45978 and 45996. First we will calculate the prime factors of 45978 and 45996.

Prime Factorization of 45978

Prime Factorization of 45996

Now multiplying the highest exponent prime factors to calculate the LCM of 45978 and 45996.

LCM(45978,45996) = 2² × 3¹ × 79¹ × 97¹ × 3833¹
LCM(45978,45996) = 352467348