What is the Least Common Multiple of 98745 and 98761?

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 98745 and 98761 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98745 and 98761, than apply into the LCM equation.

GCF(98745,98761) = 1
LCM(98745,98761) = ( 98745 × 98761) / 1
LCM(98745,98761) = 9752154945 / 1
LCM(98745,98761) = 9752154945

Least Common Multiple (LCM) of 98745 and 98761 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98745 and 98761. First we will calculate the prime factors of 98745 and 98761.

Prime Factorization of 98745

Prime Factorization of 98761

Now multiplying the highest exponent prime factors to calculate the LCM of 98745 and 98761.

LCM(98745,98761) = 3¹ × 5¹ × 29¹ × 227¹ × 13¹ × 71¹ × 107¹
LCM(98745,98761) = 9752154945