What is the Least Common Multiple of 98070 and 98075?

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 98070 and 98075 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98070 and 98075, than apply into the LCM equation.

GCF(98070,98075) = 5
LCM(98070,98075) = ( 98070 × 98075) / 5
LCM(98070,98075) = 9618215250 / 5
LCM(98070,98075) = 1923643050

Least Common Multiple (LCM) of 98070 and 98075 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98070 and 98075. First we will calculate the prime factors of 98070 and 98075.

Prime Factorization of 98070

Prime Factorization of 98075

Now multiplying the highest exponent prime factors to calculate the LCM of 98070 and 98075.

LCM(98070,98075) = 2¹ × 3¹ × 5² × 7¹ × 467¹ × 3923¹
LCM(98070,98075) = 1923643050