What is the Least Common Multiple of 4950 and 4970?

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 4950 and 4970 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4950 and 4970, than apply into the LCM equation.

GCF(4950,4970) = 10
LCM(4950,4970) = ( 4950 × 4970) / 10
LCM(4950,4970) = 24601500 / 10
LCM(4950,4970) = 2460150

Least Common Multiple (LCM) of 4950 and 4970 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4950 and 4970. First we will calculate the prime factors of 4950 and 4970.

Prime Factorization of 4950

Prime Factorization of 4970

Now multiplying the highest exponent prime factors to calculate the LCM of 4950 and 4970.

LCM(4950,4970) = 2¹ × 3² × 5² × 11¹ × 7¹ × 71¹
LCM(4950,4970) = 2460150