What is the Least Common Multiple of 51945 and 51954?

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 51954 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 51954, than apply into the LCM equation.

GCF(51945,51954) = 3
LCM(51945,51954) = ( 51945 × 51954) / 3
LCM(51945,51954) = 2698750530 / 3
LCM(51945,51954) = 899583510

Least Common Multiple (LCM) of 51945 and 51954 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51945 and 51954. First we will calculate the prime factors of 51945 and 51954.

Prime Factorization of 51945

Prime Factorization of 51954

Now multiplying the highest exponent prime factors to calculate the LCM of 51945 and 51954.

LCM(51945,51954) = 3¹ × 5¹ × 3463¹ × 2¹ × 7¹ × 1237¹
LCM(51945,51954) = 899583510