What is the Least Common Multiple of 97749 and 97753?

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 97749 and 97753 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97749 and 97753, than apply into the LCM equation.

GCF(97749,97753) = 1
LCM(97749,97753) = ( 97749 × 97753) / 1
LCM(97749,97753) = 9555257997 / 1
LCM(97749,97753) = 9555257997

Least Common Multiple (LCM) of 97749 and 97753 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97749 and 97753. First we will calculate the prime factors of 97749 and 97753.

Prime Factorization of 97749

Prime Factorization of 97753

Now multiplying the highest exponent prime factors to calculate the LCM of 97749 and 97753.

LCM(97749,97753) = 3² × 10861¹ × 67¹ × 1459¹
LCM(97749,97753) = 9555257997