What is the Least Common Multiple of 95030 and 95049?

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 95030 and 95049 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95030 and 95049, than apply into the LCM equation.

GCF(95030,95049) = 1
LCM(95030,95049) = ( 95030 × 95049) / 1
LCM(95030,95049) = 9032506470 / 1
LCM(95030,95049) = 9032506470

Least Common Multiple (LCM) of 95030 and 95049 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95030 and 95049. First we will calculate the prime factors of 95030 and 95049.

Prime Factorization of 95030

Prime Factorization of 95049

Now multiplying the highest exponent prime factors to calculate the LCM of 95030 and 95049.

LCM(95030,95049) = 2¹ × 5¹ × 13¹ × 17¹ × 43¹ × 3² × 59¹ × 179¹
LCM(95030,95049) = 9032506470