What is the Least Common Multiple of 97758 and 97762?

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 97758 and 97762 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97758 and 97762, than apply into the LCM equation.

GCF(97758,97762) = 2
LCM(97758,97762) = ( 97758 × 97762) / 2
LCM(97758,97762) = 9557017596 / 2
LCM(97758,97762) = 4778508798

Least Common Multiple (LCM) of 97758 and 97762 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97758 and 97762. First we will calculate the prime factors of 97758 and 97762.

Prime Factorization of 97758

Prime Factorization of 97762

Now multiplying the highest exponent prime factors to calculate the LCM of 97758 and 97762.

LCM(97758,97762) = 2¹ × 3² × 5431¹ × 7¹ × 6983¹
LCM(97758,97762) = 4778508798