What is the Least Common Multiple of 97702 and 97722?

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 97702 and 97722 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97702 and 97722, than apply into the LCM equation.

GCF(97702,97722) = 2
LCM(97702,97722) = ( 97702 × 97722) / 2
LCM(97702,97722) = 9547634844 / 2
LCM(97702,97722) = 4773817422

Least Common Multiple (LCM) of 97702 and 97722 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97702 and 97722. First we will calculate the prime factors of 97702 and 97722.

Prime Factorization of 97702

Prime Factorization of 97722

Now multiplying the highest exponent prime factors to calculate the LCM of 97702 and 97722.

LCM(97702,97722) = 2¹ × 11¹ × 4441¹ × 3² × 61¹ × 89¹
LCM(97702,97722) = 4773817422