What is the Least Common Multiple of 65370 and 65376?

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 65370 and 65376 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65370 and 65376, than apply into the LCM equation.

GCF(65370,65376) = 6
LCM(65370,65376) = ( 65370 × 65376) / 6
LCM(65370,65376) = 4273629120 / 6
LCM(65370,65376) = 712271520

Least Common Multiple (LCM) of 65370 and 65376 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65370 and 65376. First we will calculate the prime factors of 65370 and 65376.

Prime Factorization of 65370

Prime Factorization of 65376

Now multiplying the highest exponent prime factors to calculate the LCM of 65370 and 65376.

LCM(65370,65376) = 2⁵ × 3² × 5¹ × 2179¹ × 227¹
LCM(65370,65376) = 712271520