What is the Least Common Multiple of 97683 and 97702?

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 97683 and 97702 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97683 and 97702, than apply into the LCM equation.

GCF(97683,97702) = 1
LCM(97683,97702) = ( 97683 × 97702) / 1
LCM(97683,97702) = 9543824466 / 1
LCM(97683,97702) = 9543824466

Least Common Multiple (LCM) of 97683 and 97702 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97683 and 97702. First we will calculate the prime factors of 97683 and 97702.

Prime Factorization of 97683

Prime Factorization of 97702

Now multiplying the highest exponent prime factors to calculate the LCM of 97683 and 97702.

LCM(97683,97702) = 3¹ × 32561¹ × 2¹ × 11¹ × 4441¹
LCM(97683,97702) = 9543824466