What is the Least Common Multiple of 97035 and 97049?

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 97035 and 97049 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97035 and 97049, than apply into the LCM equation.

GCF(97035,97049) = 1
LCM(97035,97049) = ( 97035 × 97049) / 1
LCM(97035,97049) = 9417149715 / 1
LCM(97035,97049) = 9417149715

Least Common Multiple (LCM) of 97035 and 97049 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97035 and 97049. First we will calculate the prime factors of 97035 and 97049.

Prime Factorization of 97035

Prime Factorization of 97049

Now multiplying the highest exponent prime factors to calculate the LCM of 97035 and 97049.

LCM(97035,97049) = 3¹ × 5¹ × 6469¹ × 107¹ × 907¹
LCM(97035,97049) = 9417149715