What is the Least Common Multiple of 86040 and 86050?

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 86040 and 86050 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86040 and 86050, than apply into the LCM equation.

GCF(86040,86050) = 10
LCM(86040,86050) = ( 86040 × 86050) / 10
LCM(86040,86050) = 7403742000 / 10
LCM(86040,86050) = 740374200

Least Common Multiple (LCM) of 86040 and 86050 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86040 and 86050. First we will calculate the prime factors of 86040 and 86050.

Prime Factorization of 86040

Prime Factorization of 86050

Now multiplying the highest exponent prime factors to calculate the LCM of 86040 and 86050.

LCM(86040,86050) = 2³ × 3² × 5² × 239¹ × 1721¹
LCM(86040,86050) = 740374200