What is the Least Common Multiple of 98525 and 98545?

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 98525 and 98545 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98525 and 98545, than apply into the LCM equation.

GCF(98525,98545) = 5
LCM(98525,98545) = ( 98525 × 98545) / 5
LCM(98525,98545) = 9709146125 / 5
LCM(98525,98545) = 1941829225

Least Common Multiple (LCM) of 98525 and 98545 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98525 and 98545. First we will calculate the prime factors of 98525 and 98545.

Prime Factorization of 98525

Prime Factorization of 98545

Now multiplying the highest exponent prime factors to calculate the LCM of 98525 and 98545.

LCM(98525,98545) = 5² × 7¹ × 563¹ × 19709¹
LCM(98525,98545) = 1941829225