What is the Least Common Multiple of 56938 and 56954?

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 56938 and 56954 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56938 and 56954, than apply into the LCM equation.

GCF(56938,56954) = 2
LCM(56938,56954) = ( 56938 × 56954) / 2
LCM(56938,56954) = 3242846852 / 2
LCM(56938,56954) = 1621423426

Least Common Multiple (LCM) of 56938 and 56954 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56938 and 56954. First we will calculate the prime factors of 56938 and 56954.

Prime Factorization of 56938

Prime Factorization of 56954

Now multiplying the highest exponent prime factors to calculate the LCM of 56938 and 56954.

LCM(56938,56954) = 2¹ × 7³ × 83¹ × 28477¹
LCM(56938,56954) = 1621423426