What is the Least Common Multiple of 51945 and 51955?

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 51945 and 51955 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51945 and 51955, than apply into the LCM equation.

GCF(51945,51955) = 5
LCM(51945,51955) = ( 51945 × 51955) / 5
LCM(51945,51955) = 2698802475 / 5
LCM(51945,51955) = 539760495

Least Common Multiple (LCM) of 51945 and 51955 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51945 and 51955. First we will calculate the prime factors of 51945 and 51955.

Prime Factorization of 51945

Prime Factorization of 51955

Now multiplying the highest exponent prime factors to calculate the LCM of 51945 and 51955.

LCM(51945,51955) = 3¹ × 5¹ × 3463¹ × 10391¹
LCM(51945,51955) = 539760495