What is the Least Common Multiple of 90456 and 90470?

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 90456 and 90470 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90456 and 90470, than apply into the LCM equation.

GCF(90456,90470) = 2
LCM(90456,90470) = ( 90456 × 90470) / 2
LCM(90456,90470) = 8183554320 / 2
LCM(90456,90470) = 4091777160

Least Common Multiple (LCM) of 90456 and 90470 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90456 and 90470. First we will calculate the prime factors of 90456 and 90470.

Prime Factorization of 90456

Prime Factorization of 90470

Now multiplying the highest exponent prime factors to calculate the LCM of 90456 and 90470.

LCM(90456,90470) = 2³ × 3¹ × 3769¹ × 5¹ × 83¹ × 109¹
LCM(90456,90470) = 4091777160