GCF and LCM Calculator Logo

What is the Least Common Multiple of 86062 and 86070?

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 (LCM) of 86062 and 86070 is 3703678170.

LCM(86062,86070) = 3703678170

LCM Calculator and
and

Least Common Multiple of 86062 and 86070 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86062 and 86070, than apply into the LCM equation.

GCF(86062,86070) = 2
LCM(86062,86070) = ( 86062 × 86070) / 2
LCM(86062,86070) = 7407356340 / 2
LCM(86062,86070) = 3703678170

Least Common Multiple (LCM) of 86062 and 86070 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86062 and 86070. First we will calculate the prime factors of 86062 and 86070.

Prime Factorization of 86062

Prime factors of 86062 are 2, 37, 1163. Prime factorization of 86062 in exponential form is:

86062 = 21 × 371 × 11631

Prime Factorization of 86070

Prime factors of 86070 are 2, 3, 5, 19, 151. Prime factorization of 86070 in exponential form is:

86070 = 21 × 31 × 51 × 191 × 1511

Now multiplying the highest exponent prime factors to calculate the LCM of 86062 and 86070.

LCM(86062,86070) = 21 × 371 × 11631 × 31 × 51 × 191 × 1511
LCM(86062,86070) = 3703678170