What is the Least Common Multiple of 57954 and 57970?

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 57954 and 57970 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57954 and 57970, than apply into the LCM equation.

GCF(57954,57970) = 2
LCM(57954,57970) = ( 57954 × 57970) / 2
LCM(57954,57970) = 3359593380 / 2
LCM(57954,57970) = 1679796690

Least Common Multiple (LCM) of 57954 and 57970 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57954 and 57970. First we will calculate the prime factors of 57954 and 57970.

Prime Factorization of 57954

Prime Factorization of 57970

Now multiplying the highest exponent prime factors to calculate the LCM of 57954 and 57970.

LCM(57954,57970) = 2¹ × 3¹ × 13¹ × 743¹ × 5¹ × 11¹ × 17¹ × 31¹
LCM(57954,57970) = 1679796690