What is the Least Common Multiple of 53967 and 53976?

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 53967 and 53976 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53967 and 53976, than apply into the LCM equation.

GCF(53967,53976) = 3
LCM(53967,53976) = ( 53967 × 53976) / 3
LCM(53967,53976) = 2912922792 / 3
LCM(53967,53976) = 970974264

Least Common Multiple (LCM) of 53967 and 53976 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53967 and 53976. First we will calculate the prime factors of 53967 and 53976.

Prime Factorization of 53967

Prime Factorization of 53976

Now multiplying the highest exponent prime factors to calculate the LCM of 53967 and 53976.

LCM(53967,53976) = 3¹ × 17989¹ × 2³ × 13¹ × 173¹
LCM(53967,53976) = 970974264