What is the Least Common Multiple of 4947 and 4954?

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 4947 and 4954 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4947 and 4954, than apply into the LCM equation.

GCF(4947,4954) = 1
LCM(4947,4954) = ( 4947 × 4954) / 1
LCM(4947,4954) = 24507438 / 1
LCM(4947,4954) = 24507438

Least Common Multiple (LCM) of 4947 and 4954 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4947 and 4954. First we will calculate the prime factors of 4947 and 4954.

Prime Factorization of 4947

Prime Factorization of 4954

Now multiplying the highest exponent prime factors to calculate the LCM of 4947 and 4954.

LCM(4947,4954) = 3¹ × 17¹ × 97¹ × 2¹ × 2477¹
LCM(4947,4954) = 24507438