What is the Least Common Multiple of 10365 and 10380?

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 10365 and 10380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10365 and 10380, than apply into the LCM equation.

GCF(10365,10380) = 15
LCM(10365,10380) = ( 10365 × 10380) / 15
LCM(10365,10380) = 107588700 / 15
LCM(10365,10380) = 7172580

Least Common Multiple (LCM) of 10365 and 10380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10365 and 10380. First we will calculate the prime factors of 10365 and 10380.

Prime Factorization of 10365

Prime Factorization of 10380

Now multiplying the highest exponent prime factors to calculate the LCM of 10365 and 10380.

LCM(10365,10380) = 3¹ × 5¹ × 691¹ × 2² × 173¹
LCM(10365,10380) = 7172580