What is the Least Common Multiple of 65974 and 65988?

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 65974 and 65988 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65974 and 65988, than apply into the LCM equation.

GCF(65974,65988) = 2
LCM(65974,65988) = ( 65974 × 65988) / 2
LCM(65974,65988) = 4353492312 / 2
LCM(65974,65988) = 2176746156

Least Common Multiple (LCM) of 65974 and 65988 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65974 and 65988. First we will calculate the prime factors of 65974 and 65988.

Prime Factorization of 65974

Prime Factorization of 65988

Now multiplying the highest exponent prime factors to calculate the LCM of 65974 and 65988.

LCM(65974,65988) = 2² × 32987¹ × 3³ × 13¹ × 47¹
LCM(65974,65988) = 2176746156