What is the Least Common Multiple of 97419 and 97427?

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 97419 and 97427 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97419 and 97427, than apply into the LCM equation.

GCF(97419,97427) = 1
LCM(97419,97427) = ( 97419 × 97427) / 1
LCM(97419,97427) = 9491240913 / 1
LCM(97419,97427) = 9491240913

Least Common Multiple (LCM) of 97419 and 97427 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97419 and 97427. First we will calculate the prime factors of 97419 and 97427.

Prime Factorization of 97419

Prime Factorization of 97427

Now multiplying the highest exponent prime factors to calculate the LCM of 97419 and 97427.

LCM(97419,97427) = 3¹ × 7¹ × 4639¹ × 11¹ × 17¹ × 521¹
LCM(97419,97427) = 9491240913