What is the Least Common Multiple of 65965 and 65974?

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 65965 and 65974 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65965 and 65974, than apply into the LCM equation.

GCF(65965,65974) = 1
LCM(65965,65974) = ( 65965 × 65974) / 1
LCM(65965,65974) = 4351974910 / 1
LCM(65965,65974) = 4351974910

Least Common Multiple (LCM) of 65965 and 65974 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65965 and 65974. First we will calculate the prime factors of 65965 and 65974.

Prime Factorization of 65965

Prime Factorization of 65974

Now multiplying the highest exponent prime factors to calculate the LCM of 65965 and 65974.

LCM(65965,65974) = 5¹ × 79¹ × 167¹ × 2¹ × 32987¹
LCM(65965,65974) = 4351974910