What is the Least Common Multiple of 86653 and 86670?

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 86653 and 86670 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86653 and 86670, than apply into the LCM equation.

GCF(86653,86670) = 1
LCM(86653,86670) = ( 86653 × 86670) / 1
LCM(86653,86670) = 7510215510 / 1
LCM(86653,86670) = 7510215510

Least Common Multiple (LCM) of 86653 and 86670 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86653 and 86670. First we will calculate the prime factors of 86653 and 86670.

Prime Factorization of 86653

Prime Factorization of 86670

Now multiplying the highest exponent prime factors to calculate the LCM of 86653 and 86670.

LCM(86653,86670) = 7¹ × 12379¹ × 2¹ × 3⁴ × 5¹ × 107¹
LCM(86653,86670) = 7510215510