What is the Least Common Multiple of 48974 and 48982?

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 48974 and 48982 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48974 and 48982, than apply into the LCM equation.

GCF(48974,48982) = 2
LCM(48974,48982) = ( 48974 × 48982) / 2
LCM(48974,48982) = 2398844468 / 2
LCM(48974,48982) = 1199422234

Least Common Multiple (LCM) of 48974 and 48982 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48974 and 48982. First we will calculate the prime factors of 48974 and 48982.

Prime Factorization of 48974

Prime Factorization of 48982

Now multiplying the highest exponent prime factors to calculate the LCM of 48974 and 48982.

LCM(48974,48982) = 2¹ × 47¹ × 521¹ × 19¹ × 1289¹
LCM(48974,48982) = 1199422234