What is the Least Common Multiple of 65360 and 65380?

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 65360 and 65380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65360 and 65380, than apply into the LCM equation.

GCF(65360,65380) = 20
LCM(65360,65380) = ( 65360 × 65380) / 20
LCM(65360,65380) = 4273236800 / 20
LCM(65360,65380) = 213661840

Least Common Multiple (LCM) of 65360 and 65380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65360 and 65380. First we will calculate the prime factors of 65360 and 65380.

Prime Factorization of 65360

Prime Factorization of 65380

Now multiplying the highest exponent prime factors to calculate the LCM of 65360 and 65380.

LCM(65360,65380) = 2⁴ × 5¹ × 19¹ × 43¹ × 7¹ × 467¹
LCM(65360,65380) = 213661840