What is the Least Common Multiple of 45954 and 45972?

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 45954 and 45972 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45954 and 45972, than apply into the LCM equation.

GCF(45954,45972) = 18
LCM(45954,45972) = ( 45954 × 45972) / 18
LCM(45954,45972) = 2112597288 / 18
LCM(45954,45972) = 117366516

Least Common Multiple (LCM) of 45954 and 45972 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45954 and 45972. First we will calculate the prime factors of 45954 and 45972.

Prime Factorization of 45954

Prime Factorization of 45972

Now multiplying the highest exponent prime factors to calculate the LCM of 45954 and 45972.

LCM(45954,45972) = 2² × 3³ × 23¹ × 37¹ × 1277¹
LCM(45954,45972) = 117366516