What is the Least Common Multiple of 90465 and 90475?

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 90465 and 90475 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90465 and 90475, than apply into the LCM equation.

GCF(90465,90475) = 5
LCM(90465,90475) = ( 90465 × 90475) / 5
LCM(90465,90475) = 8184820875 / 5
LCM(90465,90475) = 1636964175

Least Common Multiple (LCM) of 90465 and 90475 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90465 and 90475. First we will calculate the prime factors of 90465 and 90475.

Prime Factorization of 90465

Prime Factorization of 90475

Now multiplying the highest exponent prime factors to calculate the LCM of 90465 and 90475.

LCM(90465,90475) = 3¹ × 5² × 37¹ × 163¹ × 7¹ × 11¹ × 47¹
LCM(90465,90475) = 1636964175