What is the Least Common Multiple of 36679 and 36693?

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 36679 and 36693 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36679 and 36693, than apply into the LCM equation.

GCF(36679,36693) = 1
LCM(36679,36693) = ( 36679 × 36693) / 1
LCM(36679,36693) = 1345862547 / 1
LCM(36679,36693) = 1345862547

Least Common Multiple (LCM) of 36679 and 36693 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36679 and 36693. First we will calculate the prime factors of 36679 and 36693.

Prime Factorization of 36679

Prime Factorization of 36693

Now multiplying the highest exponent prime factors to calculate the LCM of 36679 and 36693.

LCM(36679,36693) = 43¹ × 853¹ × 3⁵ × 151¹
LCM(36679,36693) = 1345862547