What is the Least Common Multiple of 65380 and 65390?

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 65380 and 65390 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65380 and 65390, than apply into the LCM equation.

GCF(65380,65390) = 10
LCM(65380,65390) = ( 65380 × 65390) / 10
LCM(65380,65390) = 4275198200 / 10
LCM(65380,65390) = 427519820

Least Common Multiple (LCM) of 65380 and 65390 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65380 and 65390. First we will calculate the prime factors of 65380 and 65390.

Prime Factorization of 65380

Prime Factorization of 65390

Now multiplying the highest exponent prime factors to calculate the LCM of 65380 and 65390.

LCM(65380,65390) = 2² × 5¹ × 7¹ × 467¹ × 13¹ × 503¹
LCM(65380,65390) = 427519820