What is the Least Common Multiple of 45952 and 45966?

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 45952 and 45966 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45952 and 45966, than apply into the LCM equation.

GCF(45952,45966) = 2
LCM(45952,45966) = ( 45952 × 45966) / 2
LCM(45952,45966) = 2112229632 / 2
LCM(45952,45966) = 1056114816

Least Common Multiple (LCM) of 45952 and 45966 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45952 and 45966. First we will calculate the prime factors of 45952 and 45966.

Prime Factorization of 45952

Prime Factorization of 45966

Now multiplying the highest exponent prime factors to calculate the LCM of 45952 and 45966.

LCM(45952,45966) = 2⁷ × 359¹ × 3¹ × 47¹ × 163¹
LCM(45952,45966) = 1056114816