What is the Least Common Multiple of 75520 and 75532?

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 75520 and 75532 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75520 and 75532, than apply into the LCM equation.

GCF(75520,75532) = 4
LCM(75520,75532) = ( 75520 × 75532) / 4
LCM(75520,75532) = 5704176640 / 4
LCM(75520,75532) = 1426044160

Least Common Multiple (LCM) of 75520 and 75532 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75520 and 75532. First we will calculate the prime factors of 75520 and 75532.

Prime Factorization of 75520

Prime Factorization of 75532

Now multiplying the highest exponent prime factors to calculate the LCM of 75520 and 75532.

LCM(75520,75532) = 2⁸ × 5¹ × 59¹ × 23¹ × 821¹
LCM(75520,75532) = 1426044160