What is the Least Common Multiple of 45968 and 45977?

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 45968 and 45977 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45968 and 45977, than apply into the LCM equation.

GCF(45968,45977) = 1
LCM(45968,45977) = ( 45968 × 45977) / 1
LCM(45968,45977) = 2113470736 / 1
LCM(45968,45977) = 2113470736

Least Common Multiple (LCM) of 45968 and 45977 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45968 and 45977. First we will calculate the prime factors of 45968 and 45977.

Prime Factorization of 45968

Prime Factorization of 45977

Now multiplying the highest exponent prime factors to calculate the LCM of 45968 and 45977.

LCM(45968,45977) = 2⁴ × 13² × 17¹ × 23¹ × 1999¹
LCM(45968,45977) = 2113470736