What is the Least Common Multiple of 60429 and 60445?

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 60429 and 60445 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60429 and 60445, than apply into the LCM equation.

GCF(60429,60445) = 1
LCM(60429,60445) = ( 60429 × 60445) / 1
LCM(60429,60445) = 3652630905 / 1
LCM(60429,60445) = 3652630905

Least Common Multiple (LCM) of 60429 and 60445 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60429 and 60445. First we will calculate the prime factors of 60429 and 60445.

Prime Factorization of 60429

Prime Factorization of 60445

Now multiplying the highest exponent prime factors to calculate the LCM of 60429 and 60445.

LCM(60429,60445) = 3¹ × 20143¹ × 5¹ × 7¹ × 11¹ × 157¹
LCM(60429,60445) = 3652630905