What is the Least Common Multiple of 45978 and 45987?

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 45987 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 45987, than apply into the LCM equation.

GCF(45978,45987) = 3
LCM(45978,45987) = ( 45978 × 45987) / 3
LCM(45978,45987) = 2114390286 / 3
LCM(45978,45987) = 704796762

Least Common Multiple (LCM) of 45978 and 45987 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45978 and 45987. First we will calculate the prime factors of 45978 and 45987.

Prime Factorization of 45978

Prime Factorization of 45987

Now multiplying the highest exponent prime factors to calculate the LCM of 45978 and 45987.

LCM(45978,45987) = 2¹ × 3¹ × 79¹ × 97¹ × 15329¹
LCM(45978,45987) = 704796762