What is the Least Common Multiple of 53954 and 53962?

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 53954 and 53962 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53954 and 53962, than apply into the LCM equation.

GCF(53954,53962) = 2
LCM(53954,53962) = ( 53954 × 53962) / 2
LCM(53954,53962) = 2911465748 / 2
LCM(53954,53962) = 1455732874

Least Common Multiple (LCM) of 53954 and 53962 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53954 and 53962. First we will calculate the prime factors of 53954 and 53962.

Prime Factorization of 53954

Prime Factorization of 53962

Now multiplying the highest exponent prime factors to calculate the LCM of 53954 and 53962.

LCM(53954,53962) = 2¹ × 53¹ × 509¹ × 26981¹
LCM(53954,53962) = 1455732874