What is the Least Common Multiple of 53950 and 53970?

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 53950 and 53970 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53950 and 53970, than apply into the LCM equation.

GCF(53950,53970) = 10
LCM(53950,53970) = ( 53950 × 53970) / 10
LCM(53950,53970) = 2911681500 / 10
LCM(53950,53970) = 291168150

Least Common Multiple (LCM) of 53950 and 53970 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53950 and 53970. First we will calculate the prime factors of 53950 and 53970.

Prime Factorization of 53950

Prime Factorization of 53970

Now multiplying the highest exponent prime factors to calculate the LCM of 53950 and 53970.

LCM(53950,53970) = 2¹ × 5² × 13¹ × 83¹ × 3¹ × 7¹ × 257¹
LCM(53950,53970) = 291168150