What is the Least Common Multiple of 97445 and 97458?

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 97445 and 97458 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97445 and 97458, than apply into the LCM equation.

GCF(97445,97458) = 1
LCM(97445,97458) = ( 97445 × 97458) / 1
LCM(97445,97458) = 9496794810 / 1
LCM(97445,97458) = 9496794810

Least Common Multiple (LCM) of 97445 and 97458 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97445 and 97458. First we will calculate the prime factors of 97445 and 97458.

Prime Factorization of 97445

Prime Factorization of 97458

Now multiplying the highest exponent prime factors to calculate the LCM of 97445 and 97458.

LCM(97445,97458) = 5¹ × 19489¹ × 2¹ × 3¹ × 37¹ × 439¹
LCM(97445,97458) = 9496794810