What is the Least Common Multiple of 51954 and 51969?

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 51954 and 51969 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51954 and 51969, than apply into the LCM equation.

GCF(51954,51969) = 3
LCM(51954,51969) = ( 51954 × 51969) / 3
LCM(51954,51969) = 2699997426 / 3
LCM(51954,51969) = 899999142

Least Common Multiple (LCM) of 51954 and 51969 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51954 and 51969. First we will calculate the prime factors of 51954 and 51969.

Prime Factorization of 51954

Prime Factorization of 51969

Now multiplying the highest exponent prime factors to calculate the LCM of 51954 and 51969.

LCM(51954,51969) = 2¹ × 3¹ × 7¹ × 1237¹ × 17¹ × 1019¹
LCM(51954,51969) = 899999142