What is the Least Common Multiple of 52954 and 52970?

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 52954 and 52970 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52954 and 52970, than apply into the LCM equation.

GCF(52954,52970) = 2
LCM(52954,52970) = ( 52954 × 52970) / 2
LCM(52954,52970) = 2804973380 / 2
LCM(52954,52970) = 1402486690

Least Common Multiple (LCM) of 52954 and 52970 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52954 and 52970. First we will calculate the prime factors of 52954 and 52970.

Prime Factorization of 52954

Prime Factorization of 52970

Now multiplying the highest exponent prime factors to calculate the LCM of 52954 and 52970.

LCM(52954,52970) = 2¹ × 11¹ × 29¹ × 83¹ × 5¹ × 5297¹
LCM(52954,52970) = 1402486690