What is the Least Common Multiple of 43654 and 43670?

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 43654 and 43670 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43654 and 43670, than apply into the LCM equation.

GCF(43654,43670) = 2
LCM(43654,43670) = ( 43654 × 43670) / 2
LCM(43654,43670) = 1906370180 / 2
LCM(43654,43670) = 953185090

Least Common Multiple (LCM) of 43654 and 43670 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43654 and 43670. First we will calculate the prime factors of 43654 and 43670.

Prime Factorization of 43654

Prime Factorization of 43670

Now multiplying the highest exponent prime factors to calculate the LCM of 43654 and 43670.

LCM(43654,43670) = 2¹ × 13¹ × 23¹ × 73¹ × 5¹ × 11¹ × 397¹
LCM(43654,43670) = 953185090