What is the Least Common Multiple of 49420 and 49435?

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 49420 and 49435 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49420 and 49435, than apply into the LCM equation.

GCF(49420,49435) = 5
LCM(49420,49435) = ( 49420 × 49435) / 5
LCM(49420,49435) = 2443077700 / 5
LCM(49420,49435) = 488615540

Least Common Multiple (LCM) of 49420 and 49435 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49420 and 49435. First we will calculate the prime factors of 49420 and 49435.

Prime Factorization of 49420

Prime Factorization of 49435

Now multiplying the highest exponent prime factors to calculate the LCM of 49420 and 49435.

LCM(49420,49435) = 2² × 5¹ × 7¹ × 353¹ × 9887¹
LCM(49420,49435) = 488615540