What is the Least Common Multiple of 86070 and 86090?

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 86070 and 86090 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86070 and 86090, than apply into the LCM equation.

GCF(86070,86090) = 10
LCM(86070,86090) = ( 86070 × 86090) / 10
LCM(86070,86090) = 7409766300 / 10
LCM(86070,86090) = 740976630

Least Common Multiple (LCM) of 86070 and 86090 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86070 and 86090. First we will calculate the prime factors of 86070 and 86090.

Prime Factorization of 86070

Prime Factorization of 86090

Now multiplying the highest exponent prime factors to calculate the LCM of 86070 and 86090.

LCM(86070,86090) = 2¹ × 3¹ × 5¹ × 19¹ × 151¹ × 8609¹
LCM(86070,86090) = 740976630