What is the Least Common Multiple of 38070 and 38075?

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 38070 and 38075 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38070 and 38075, than apply into the LCM equation.

GCF(38070,38075) = 5
LCM(38070,38075) = ( 38070 × 38075) / 5
LCM(38070,38075) = 1449515250 / 5
LCM(38070,38075) = 289903050

Least Common Multiple (LCM) of 38070 and 38075 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38070 and 38075. First we will calculate the prime factors of 38070 and 38075.

Prime Factorization of 38070

Prime Factorization of 38075

Now multiplying the highest exponent prime factors to calculate the LCM of 38070 and 38075.

LCM(38070,38075) = 2¹ × 3⁴ × 5² × 47¹ × 1523¹
LCM(38070,38075) = 289903050