What is the Least Common Multiple of 42861 and 42877?

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 42861 and 42877 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42861 and 42877, than apply into the LCM equation.

GCF(42861,42877) = 1
LCM(42861,42877) = ( 42861 × 42877) / 1
LCM(42861,42877) = 1837751097 / 1
LCM(42861,42877) = 1837751097

Least Common Multiple (LCM) of 42861 and 42877 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42861 and 42877. First we will calculate the prime factors of 42861 and 42877.

Prime Factorization of 42861

Prime Factorization of 42877

Now multiplying the highest exponent prime factors to calculate the LCM of 42861 and 42877.

LCM(42861,42877) = 3¹ × 7¹ × 13¹ × 157¹ × 53¹ × 809¹
LCM(42861,42877) = 1837751097