What is the Least Common Multiple of 81525 and 81534?

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 81525 and 81534 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81525 and 81534, than apply into the LCM equation.

GCF(81525,81534) = 3
LCM(81525,81534) = ( 81525 × 81534) / 3
LCM(81525,81534) = 6647059350 / 3
LCM(81525,81534) = 2215686450

Least Common Multiple (LCM) of 81525 and 81534 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81525 and 81534. First we will calculate the prime factors of 81525 and 81534.

Prime Factorization of 81525

Prime Factorization of 81534

Now multiplying the highest exponent prime factors to calculate the LCM of 81525 and 81534.

LCM(81525,81534) = 3¹ × 5² × 1087¹ × 2¹ × 107¹ × 127¹
LCM(81525,81534) = 2215686450