What is the Least Common Multiple of 98435 and 98455?

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 98435 and 98455 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98435 and 98455, than apply into the LCM equation.

GCF(98435,98455) = 5
LCM(98435,98455) = ( 98435 × 98455) / 5
LCM(98435,98455) = 9691417925 / 5
LCM(98435,98455) = 1938283585

Least Common Multiple (LCM) of 98435 and 98455 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98435 and 98455. First we will calculate the prime factors of 98435 and 98455.

Prime Factorization of 98435

Prime Factorization of 98455

Now multiplying the highest exponent prime factors to calculate the LCM of 98435 and 98455.

LCM(98435,98455) = 5¹ × 19687¹ × 7¹ × 29¹ × 97¹
LCM(98435,98455) = 1938283585