What is the Least Common Multiple of 36930 and 36945?

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 36930 and 36945 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36930 and 36945, than apply into the LCM equation.

GCF(36930,36945) = 15
LCM(36930,36945) = ( 36930 × 36945) / 15
LCM(36930,36945) = 1364378850 / 15
LCM(36930,36945) = 90958590

Least Common Multiple (LCM) of 36930 and 36945 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36930 and 36945. First we will calculate the prime factors of 36930 and 36945.

Prime Factorization of 36930

Prime Factorization of 36945

Now multiplying the highest exponent prime factors to calculate the LCM of 36930 and 36945.

LCM(36930,36945) = 2¹ × 3² × 5¹ × 1231¹ × 821¹
LCM(36930,36945) = 90958590