What is the Least Common Multiple of 61362 and 61380?

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 61362 and 61380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61362 and 61380, than apply into the LCM equation.

GCF(61362,61380) = 18
LCM(61362,61380) = ( 61362 × 61380) / 18
LCM(61362,61380) = 3766399560 / 18
LCM(61362,61380) = 209244420

Least Common Multiple (LCM) of 61362 and 61380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61362 and 61380. First we will calculate the prime factors of 61362 and 61380.

Prime Factorization of 61362

Prime Factorization of 61380

Now multiplying the highest exponent prime factors to calculate the LCM of 61362 and 61380.

LCM(61362,61380) = 2² × 3² × 7¹ × 487¹ × 5¹ × 11¹ × 31¹
LCM(61362,61380) = 209244420