What is the Least Common Multiple of 83070 and 83080?

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 83070 and 83080 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83070 and 83080, than apply into the LCM equation.

GCF(83070,83080) = 10
LCM(83070,83080) = ( 83070 × 83080) / 10
LCM(83070,83080) = 6901455600 / 10
LCM(83070,83080) = 690145560

Least Common Multiple (LCM) of 83070 and 83080 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83070 and 83080. First we will calculate the prime factors of 83070 and 83080.

Prime Factorization of 83070

Prime Factorization of 83080

Now multiplying the highest exponent prime factors to calculate the LCM of 83070 and 83080.

LCM(83070,83080) = 2³ × 3² × 5¹ × 13¹ × 71¹ × 31¹ × 67¹
LCM(83070,83080) = 690145560