What is the Least Common Multiple of 90520 and 90534?

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 90520 and 90534 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90520 and 90534, than apply into the LCM equation.

GCF(90520,90534) = 2
LCM(90520,90534) = ( 90520 × 90534) / 2
LCM(90520,90534) = 8195137680 / 2
LCM(90520,90534) = 4097568840

Least Common Multiple (LCM) of 90520 and 90534 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90520 and 90534. First we will calculate the prime factors of 90520 and 90534.

Prime Factorization of 90520

Prime Factorization of 90534

Now multiplying the highest exponent prime factors to calculate the LCM of 90520 and 90534.

LCM(90520,90534) = 2³ × 5¹ × 31¹ × 73¹ × 3¹ × 79¹ × 191¹
LCM(90520,90534) = 4097568840