What is the Least Common Multiple of 49960 and 49967?

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 49960 and 49967 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49960 and 49967, than apply into the LCM equation.

GCF(49960,49967) = 1
LCM(49960,49967) = ( 49960 × 49967) / 1
LCM(49960,49967) = 2496351320 / 1
LCM(49960,49967) = 2496351320

Least Common Multiple (LCM) of 49960 and 49967 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49960 and 49967. First we will calculate the prime factors of 49960 and 49967.

Prime Factorization of 49960

Prime Factorization of 49967

Now multiplying the highest exponent prime factors to calculate the LCM of 49960 and 49967.

LCM(49960,49967) = 2³ × 5¹ × 1249¹ × 29¹ × 1723¹
LCM(49960,49967) = 2496351320