What is the Least Common Multiple of 36705 and 36715?

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 36705 and 36715 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36705 and 36715, than apply into the LCM equation.

GCF(36705,36715) = 5
LCM(36705,36715) = ( 36705 × 36715) / 5
LCM(36705,36715) = 1347624075 / 5
LCM(36705,36715) = 269524815

Least Common Multiple (LCM) of 36705 and 36715 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36705 and 36715. First we will calculate the prime factors of 36705 and 36715.

Prime Factorization of 36705

Prime Factorization of 36715

Now multiplying the highest exponent prime factors to calculate the LCM of 36705 and 36715.

LCM(36705,36715) = 3¹ × 5¹ × 2447¹ × 7¹ × 1049¹
LCM(36705,36715) = 269524815