What is the Least Common Multiple of 56964 and 56969?

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 56964 and 56969 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56964 and 56969, than apply into the LCM equation.

GCF(56964,56969) = 1
LCM(56964,56969) = ( 56964 × 56969) / 1
LCM(56964,56969) = 3245182116 / 1
LCM(56964,56969) = 3245182116

Least Common Multiple (LCM) of 56964 and 56969 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56964 and 56969. First we will calculate the prime factors of 56964 and 56969.

Prime Factorization of 56964

Prime Factorization of 56969

Now multiplying the highest exponent prime factors to calculate the LCM of 56964 and 56969.

LCM(56964,56969) = 2² × 3¹ × 47¹ × 101¹ × 11¹ × 5179¹
LCM(56964,56969) = 3245182116