What is the Least Common Multiple of 84070 and 84075?

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 84070 and 84075 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84070 and 84075, than apply into the LCM equation.

GCF(84070,84075) = 5
LCM(84070,84075) = ( 84070 × 84075) / 5
LCM(84070,84075) = 7068185250 / 5
LCM(84070,84075) = 1413637050

Least Common Multiple (LCM) of 84070 and 84075 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84070 and 84075. First we will calculate the prime factors of 84070 and 84075.

Prime Factorization of 84070

Prime Factorization of 84075

Now multiplying the highest exponent prime factors to calculate the LCM of 84070 and 84075.

LCM(84070,84075) = 2¹ × 5² × 7¹ × 1201¹ × 3¹ × 19¹ × 59¹
LCM(84070,84075) = 1413637050