What is the Least Common Multiple of 70626 and 70643?

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 70626 and 70643 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70626 and 70643, than apply into the LCM equation.

GCF(70626,70643) = 1
LCM(70626,70643) = ( 70626 × 70643) / 1
LCM(70626,70643) = 4989232518 / 1
LCM(70626,70643) = 4989232518

Least Common Multiple (LCM) of 70626 and 70643 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70626 and 70643. First we will calculate the prime factors of 70626 and 70643.

Prime Factorization of 70626

Prime Factorization of 70643

Now multiplying the highest exponent prime factors to calculate the LCM of 70626 and 70643.

LCM(70626,70643) = 2¹ × 3¹ × 79¹ × 149¹ × 41¹ × 1723¹
LCM(70626,70643) = 4989232518