What is the Least Common Multiple of 98038 and 98058?

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 98038 and 98058 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98038 and 98058, than apply into the LCM equation.

GCF(98038,98058) = 2
LCM(98038,98058) = ( 98038 × 98058) / 2
LCM(98038,98058) = 9613410204 / 2
LCM(98038,98058) = 4806705102

Least Common Multiple (LCM) of 98038 and 98058 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98038 and 98058. First we will calculate the prime factors of 98038 and 98058.

Prime Factorization of 98038

Prime Factorization of 98058

Now multiplying the highest exponent prime factors to calculate the LCM of 98038 and 98058.

LCM(98038,98058) = 2¹ × 49019¹ × 3¹ × 59¹ × 277¹
LCM(98038,98058) = 4806705102