What is the Least Common Multiple of 49360 and 49377?

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 49360 and 49377 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49360 and 49377, than apply into the LCM equation.

GCF(49360,49377) = 1
LCM(49360,49377) = ( 49360 × 49377) / 1
LCM(49360,49377) = 2437248720 / 1
LCM(49360,49377) = 2437248720

Least Common Multiple (LCM) of 49360 and 49377 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49360 and 49377. First we will calculate the prime factors of 49360 and 49377.

Prime Factorization of 49360

Prime Factorization of 49377

Now multiplying the highest exponent prime factors to calculate the LCM of 49360 and 49377.

LCM(49360,49377) = 2⁴ × 5¹ × 617¹ × 3¹ × 109¹ × 151¹
LCM(49360,49377) = 2437248720