What is the Least Common Multiple of 84652 and 84656?

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 84652 and 84656 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84652 and 84656, than apply into the LCM equation.

GCF(84652,84656) = 4
LCM(84652,84656) = ( 84652 × 84656) / 4
LCM(84652,84656) = 7166299712 / 4
LCM(84652,84656) = 1791574928

Least Common Multiple (LCM) of 84652 and 84656 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84652 and 84656. First we will calculate the prime factors of 84652 and 84656.

Prime Factorization of 84652

Prime Factorization of 84656

Now multiplying the highest exponent prime factors to calculate the LCM of 84652 and 84656.

LCM(84652,84656) = 2⁴ × 21163¹ × 11¹ × 13¹ × 37¹
LCM(84652,84656) = 1791574928