What is the Least Common Multiple of 83120 and 83135?

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 83120 and 83135 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83120 and 83135, than apply into the LCM equation.

GCF(83120,83135) = 5
LCM(83120,83135) = ( 83120 × 83135) / 5
LCM(83120,83135) = 6910181200 / 5
LCM(83120,83135) = 1382036240

Least Common Multiple (LCM) of 83120 and 83135 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83120 and 83135. First we will calculate the prime factors of 83120 and 83135.

Prime Factorization of 83120

Prime Factorization of 83135

Now multiplying the highest exponent prime factors to calculate the LCM of 83120 and 83135.

LCM(83120,83135) = 2⁴ × 5¹ × 1039¹ × 13¹ × 1279¹
LCM(83120,83135) = 1382036240