What is the Least Common Multiple of 97527 and 97534?

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 97527 and 97534 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97527 and 97534, than apply into the LCM equation.

GCF(97527,97534) = 1
LCM(97527,97534) = ( 97527 × 97534) / 1
LCM(97527,97534) = 9512198418 / 1
LCM(97527,97534) = 9512198418

Least Common Multiple (LCM) of 97527 and 97534 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97527 and 97534. First we will calculate the prime factors of 97527 and 97534.

Prime Factorization of 97527

Prime Factorization of 97534

Now multiplying the highest exponent prime factors to calculate the LCM of 97527 and 97534.

LCM(97527,97534) = 3¹ × 19¹ × 29¹ × 59¹ × 2¹ × 48767¹
LCM(97527,97534) = 9512198418