What is the Least Common Multiple of 64414 and 64429?

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 64414 and 64429 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64414 and 64429, than apply into the LCM equation.

GCF(64414,64429) = 1
LCM(64414,64429) = ( 64414 × 64429) / 1
LCM(64414,64429) = 4150129606 / 1
LCM(64414,64429) = 4150129606

Least Common Multiple (LCM) of 64414 and 64429 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64414 and 64429. First we will calculate the prime factors of 64414 and 64429.

Prime Factorization of 64414

Prime Factorization of 64429

Now multiplying the highest exponent prime factors to calculate the LCM of 64414 and 64429.

LCM(64414,64429) = 2¹ × 7¹ × 43¹ × 107¹ × 19¹ × 3391¹
LCM(64414,64429) = 4150129606