What is the Least Common Multiple of 98430 and 98448?

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 98430 and 98448 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98430 and 98448, than apply into the LCM equation.

GCF(98430,98448) = 6
LCM(98430,98448) = ( 98430 × 98448) / 6
LCM(98430,98448) = 9690236640 / 6
LCM(98430,98448) = 1615039440

Least Common Multiple (LCM) of 98430 and 98448 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98430 and 98448. First we will calculate the prime factors of 98430 and 98448.

Prime Factorization of 98430

Prime Factorization of 98448

Now multiplying the highest exponent prime factors to calculate the LCM of 98430 and 98448.

LCM(98430,98448) = 2⁴ × 3¹ × 5¹ × 17¹ × 193¹ × 7¹ × 293¹
LCM(98430,98448) = 1615039440