What is the Least Common Multiple of 97758 and 97776?

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 97776 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 97776, than apply into the LCM equation.

GCF(97758,97776) = 18
LCM(97758,97776) = ( 97758 × 97776) / 18
LCM(97758,97776) = 9558386208 / 18
LCM(97758,97776) = 531021456

Least Common Multiple (LCM) of 97758 and 97776 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97758 and 97776. First we will calculate the prime factors of 97758 and 97776.

Prime Factorization of 97758

Prime Factorization of 97776

Now multiplying the highest exponent prime factors to calculate the LCM of 97758 and 97776.

LCM(97758,97776) = 2⁴ × 3² × 5431¹ × 7¹ × 97¹
LCM(97758,97776) = 531021456