What is the Least Common Multiple of 49980 and 49990?

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 49980 and 49990 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49980 and 49990, than apply into the LCM equation.

GCF(49980,49990) = 10
LCM(49980,49990) = ( 49980 × 49990) / 10
LCM(49980,49990) = 2498500200 / 10
LCM(49980,49990) = 249850020

Least Common Multiple (LCM) of 49980 and 49990 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49980 and 49990. First we will calculate the prime factors of 49980 and 49990.

Prime Factorization of 49980

Prime Factorization of 49990

Now multiplying the highest exponent prime factors to calculate the LCM of 49980 and 49990.

LCM(49980,49990) = 2² × 3¹ × 5¹ × 7² × 17¹ × 4999¹
LCM(49980,49990) = 249850020