What is the Least Common Multiple of 70528 and 70547?

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 70528 and 70547 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70528 and 70547, than apply into the LCM equation.

GCF(70528,70547) = 19
LCM(70528,70547) = ( 70528 × 70547) / 19
LCM(70528,70547) = 4975538816 / 19
LCM(70528,70547) = 261870464

Least Common Multiple (LCM) of 70528 and 70547 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70528 and 70547. First we will calculate the prime factors of 70528 and 70547.

Prime Factorization of 70528

Prime Factorization of 70547

Now multiplying the highest exponent prime factors to calculate the LCM of 70528 and 70547.

LCM(70528,70547) = 2⁷ × 19¹ × 29¹ × 47¹ × 79¹
LCM(70528,70547) = 261870464