What is the Least Common Multiple of 4921 and 4940?

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 4921 and 4940 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4921 and 4940, than apply into the LCM equation.

GCF(4921,4940) = 19
LCM(4921,4940) = ( 4921 × 4940) / 19
LCM(4921,4940) = 24309740 / 19
LCM(4921,4940) = 1279460

Least Common Multiple (LCM) of 4921 and 4940 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4921 and 4940. First we will calculate the prime factors of 4921 and 4940.

Prime Factorization of 4921

Prime Factorization of 4940

Now multiplying the highest exponent prime factors to calculate the LCM of 4921 and 4940.

LCM(4921,4940) = 7¹ × 19¹ × 37¹ × 2² × 5¹ × 13¹
LCM(4921,4940) = 1279460