What is the Least Common Multiple of 49540 and 49555?

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 49540 and 49555 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49540 and 49555, than apply into the LCM equation.

GCF(49540,49555) = 5
LCM(49540,49555) = ( 49540 × 49555) / 5
LCM(49540,49555) = 2454954700 / 5
LCM(49540,49555) = 490990940

Least Common Multiple (LCM) of 49540 and 49555 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49540 and 49555. First we will calculate the prime factors of 49540 and 49555.

Prime Factorization of 49540

Prime Factorization of 49555

Now multiplying the highest exponent prime factors to calculate the LCM of 49540 and 49555.

LCM(49540,49555) = 2² × 5¹ × 2477¹ × 11¹ × 17¹ × 53¹
LCM(49540,49555) = 490990940