What is the Least Common Multiple of 98760 and 98769?

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 98760 and 98769 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98760 and 98769, than apply into the LCM equation.

GCF(98760,98769) = 3
LCM(98760,98769) = ( 98760 × 98769) / 3
LCM(98760,98769) = 9754426440 / 3
LCM(98760,98769) = 3251475480

Least Common Multiple (LCM) of 98760 and 98769 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98760 and 98769. First we will calculate the prime factors of 98760 and 98769.

Prime Factorization of 98760

Prime Factorization of 98769

Now multiplying the highest exponent prime factors to calculate the LCM of 98760 and 98769.

LCM(98760,98769) = 2³ × 3¹ × 5¹ × 823¹ × 11¹ × 41¹ × 73¹
LCM(98760,98769) = 3251475480