What is the Least Common Multiple of 95970 and 95974?

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 95970 and 95974 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95970 and 95974, than apply into the LCM equation.

GCF(95970,95974) = 2
LCM(95970,95974) = ( 95970 × 95974) / 2
LCM(95970,95974) = 9210624780 / 2
LCM(95970,95974) = 4605312390

Least Common Multiple (LCM) of 95970 and 95974 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95970 and 95974. First we will calculate the prime factors of 95970 and 95974.

Prime Factorization of 95970

Prime Factorization of 95974

Now multiplying the highest exponent prime factors to calculate the LCM of 95970 and 95974.

LCM(95970,95974) = 2¹ × 3¹ × 5¹ × 7¹ × 457¹ × 47¹ × 1021¹
LCM(95970,95974) = 4605312390