What is the Least Common Multiple of 97662 and 97674?

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 97662 and 97674 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97662 and 97674, than apply into the LCM equation.

GCF(97662,97674) = 6
LCM(97662,97674) = ( 97662 × 97674) / 6
LCM(97662,97674) = 9539038188 / 6
LCM(97662,97674) = 1589839698

Least Common Multiple (LCM) of 97662 and 97674 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97662 and 97674. First we will calculate the prime factors of 97662 and 97674.

Prime Factorization of 97662

Prime Factorization of 97674

Now multiplying the highest exponent prime factors to calculate the LCM of 97662 and 97674.

LCM(97662,97674) = 2¹ × 3¹ × 41¹ × 397¹ × 73¹ × 223¹
LCM(97662,97674) = 1589839698