What is the Least Common Multiple of 98762 and 98776?

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 98762 and 98776 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98762 and 98776, than apply into the LCM equation.

GCF(98762,98776) = 2
LCM(98762,98776) = ( 98762 × 98776) / 2
LCM(98762,98776) = 9755315312 / 2
LCM(98762,98776) = 4877657656

Least Common Multiple (LCM) of 98762 and 98776 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98762 and 98776. First we will calculate the prime factors of 98762 and 98776.

Prime Factorization of 98762

Prime Factorization of 98776

Now multiplying the highest exponent prime factors to calculate the LCM of 98762 and 98776.

LCM(98762,98776) = 2³ × 19¹ × 23¹ × 113¹ × 12347¹
LCM(98762,98776) = 4877657656