What is the Least Common Multiple of 97446 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 97446 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 97446 and 97458, than apply into the LCM equation.

GCF(97446,97458) = 6
LCM(97446,97458) = ( 97446 × 97458) / 6
LCM(97446,97458) = 9496892268 / 6
LCM(97446,97458) = 1582815378

Least Common Multiple (LCM) of 97446 and 97458 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97446 and 97458. First we will calculate the prime factors of 97446 and 97458.

Prime Factorization of 97446

Prime Factorization of 97458

Now multiplying the highest exponent prime factors to calculate the LCM of 97446 and 97458.

LCM(97446,97458) = 2¹ × 3¹ × 109¹ × 149¹ × 37¹ × 439¹
LCM(97446,97458) = 1582815378