What is the Least Common Multiple of 83930 and 83948?

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 83930 and 83948 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83930 and 83948, than apply into the LCM equation.

GCF(83930,83948) = 2
LCM(83930,83948) = ( 83930 × 83948) / 2
LCM(83930,83948) = 7045755640 / 2
LCM(83930,83948) = 3522877820

Least Common Multiple (LCM) of 83930 and 83948 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83930 and 83948. First we will calculate the prime factors of 83930 and 83948.

Prime Factorization of 83930

Prime Factorization of 83948

Now multiplying the highest exponent prime factors to calculate the LCM of 83930 and 83948.

LCM(83930,83948) = 2² × 5¹ × 7¹ × 11¹ × 109¹ × 31¹ × 677¹
LCM(83930,83948) = 3522877820