What is the Least Common Multiple of 86122 and 86134?

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 86122 and 86134 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86122 and 86134, than apply into the LCM equation.

GCF(86122,86134) = 2
LCM(86122,86134) = ( 86122 × 86134) / 2
LCM(86122,86134) = 7418032348 / 2
LCM(86122,86134) = 3709016174

Least Common Multiple (LCM) of 86122 and 86134 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86122 and 86134. First we will calculate the prime factors of 86122 and 86134.

Prime Factorization of 86122

Prime Factorization of 86134

Now multiplying the highest exponent prime factors to calculate the LCM of 86122 and 86134.

LCM(86122,86134) = 2¹ × 17² × 149¹ × 43067¹
LCM(86122,86134) = 3709016174