What is the Least Common Multiple of 98032 and 98038?

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 98032 and 98038 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98032 and 98038, than apply into the LCM equation.

GCF(98032,98038) = 2
LCM(98032,98038) = ( 98032 × 98038) / 2
LCM(98032,98038) = 9610861216 / 2
LCM(98032,98038) = 4805430608

Least Common Multiple (LCM) of 98032 and 98038 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98032 and 98038. First we will calculate the prime factors of 98032 and 98038.

Prime Factorization of 98032

Prime Factorization of 98038

Now multiplying the highest exponent prime factors to calculate the LCM of 98032 and 98038.

LCM(98032,98038) = 2⁴ × 11¹ × 557¹ × 49019¹
LCM(98032,98038) = 4805430608