What is the Least Common Multiple of 81551 and 81567?

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 81551 and 81567 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81551 and 81567, than apply into the LCM equation.

GCF(81551,81567) = 1
LCM(81551,81567) = ( 81551 × 81567) / 1
LCM(81551,81567) = 6651870417 / 1
LCM(81551,81567) = 6651870417

Least Common Multiple (LCM) of 81551 and 81567 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81551 and 81567. First we will calculate the prime factors of 81551 and 81567.

Prime Factorization of 81551

Prime Factorization of 81567

Now multiplying the highest exponent prime factors to calculate the LCM of 81551 and 81567.

LCM(81551,81567) = 81551¹ × 3⁴ × 19¹ × 53¹
LCM(81551,81567) = 6651870417