What is the Least Common Multiple of 99755 and 99761?

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 99755 and 99761 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99755 and 99761, than apply into the LCM equation.

GCF(99755,99761) = 1
LCM(99755,99761) = ( 99755 × 99761) / 1
LCM(99755,99761) = 9951658555 / 1
LCM(99755,99761) = 9951658555

Least Common Multiple (LCM) of 99755 and 99761 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99755 and 99761. First we will calculate the prime factors of 99755 and 99761.

Prime Factorization of 99755

Prime Factorization of 99761

Now multiplying the highest exponent prime factors to calculate the LCM of 99755 and 99761.

LCM(99755,99761) = 5¹ × 71¹ × 281¹ × 99761¹
LCM(99755,99761) = 9951658555