What is the Least Common Multiple of 4980 and 4998?

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 4980 and 4998 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4980 and 4998, than apply into the LCM equation.

GCF(4980,4998) = 6
LCM(4980,4998) = ( 4980 × 4998) / 6
LCM(4980,4998) = 24890040 / 6
LCM(4980,4998) = 4148340

Least Common Multiple (LCM) of 4980 and 4998 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4980 and 4998. First we will calculate the prime factors of 4980 and 4998.

Prime Factorization of 4980

Prime Factorization of 4998

Now multiplying the highest exponent prime factors to calculate the LCM of 4980 and 4998.

LCM(4980,4998) = 2² × 3¹ × 5¹ × 83¹ × 7² × 17¹
LCM(4980,4998) = 4148340