What is the Least Common Multiple of 75020 and 75033?

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 75020 and 75033 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75020 and 75033, than apply into the LCM equation.

GCF(75020,75033) = 1
LCM(75020,75033) = ( 75020 × 75033) / 1
LCM(75020,75033) = 5628975660 / 1
LCM(75020,75033) = 5628975660

Least Common Multiple (LCM) of 75020 and 75033 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75020 and 75033. First we will calculate the prime factors of 75020 and 75033.

Prime Factorization of 75020

Prime Factorization of 75033

Now multiplying the highest exponent prime factors to calculate the LCM of 75020 and 75033.

LCM(75020,75033) = 2² × 5¹ × 11² × 31¹ × 3³ × 7¹ × 397¹
LCM(75020,75033) = 5628975660