What is the Least Common Multiple of 50988 and 51008?

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 50988 and 51008 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50988 and 51008, than apply into the LCM equation.

GCF(50988,51008) = 4
LCM(50988,51008) = ( 50988 × 51008) / 4
LCM(50988,51008) = 2600795904 / 4
LCM(50988,51008) = 650198976

Least Common Multiple (LCM) of 50988 and 51008 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50988 and 51008. First we will calculate the prime factors of 50988 and 51008.

Prime Factorization of 50988

Prime Factorization of 51008

Now multiplying the highest exponent prime factors to calculate the LCM of 50988 and 51008.

LCM(50988,51008) = 2⁶ × 3¹ × 7¹ × 607¹ × 797¹
LCM(50988,51008) = 650198976