What is the Least Common Multiple of 42365 and 42380?

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 42365 and 42380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42365 and 42380, than apply into the LCM equation.

GCF(42365,42380) = 5
LCM(42365,42380) = ( 42365 × 42380) / 5
LCM(42365,42380) = 1795428700 / 5
LCM(42365,42380) = 359085740

Least Common Multiple (LCM) of 42365 and 42380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42365 and 42380. First we will calculate the prime factors of 42365 and 42380.

Prime Factorization of 42365

Prime Factorization of 42380

Now multiplying the highest exponent prime factors to calculate the LCM of 42365 and 42380.

LCM(42365,42380) = 5¹ × 37¹ × 229¹ × 2² × 13¹ × 163¹
LCM(42365,42380) = 359085740