What is the Least Common Multiple of 50948 and 50962?

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 50948 and 50962 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50948 and 50962, than apply into the LCM equation.

GCF(50948,50962) = 2
LCM(50948,50962) = ( 50948 × 50962) / 2
LCM(50948,50962) = 2596411976 / 2
LCM(50948,50962) = 1298205988

Least Common Multiple (LCM) of 50948 and 50962 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50948 and 50962. First we will calculate the prime factors of 50948 and 50962.

Prime Factorization of 50948

Prime Factorization of 50962

Now multiplying the highest exponent prime factors to calculate the LCM of 50948 and 50962.

LCM(50948,50962) = 2² × 47¹ × 271¹ × 83¹ × 307¹
LCM(50948,50962) = 1298205988