What is the Least Common Multiple of 61914 and 61933?

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 61914 and 61933 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61914 and 61933, than apply into the LCM equation.

GCF(61914,61933) = 1
LCM(61914,61933) = ( 61914 × 61933) / 1
LCM(61914,61933) = 3834519762 / 1
LCM(61914,61933) = 3834519762

Least Common Multiple (LCM) of 61914 and 61933 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61914 and 61933. First we will calculate the prime factors of 61914 and 61933.

Prime Factorization of 61914

Prime Factorization of 61933

Now multiplying the highest exponent prime factors to calculate the LCM of 61914 and 61933.

LCM(61914,61933) = 2¹ × 3¹ × 17¹ × 607¹ × 61933¹
LCM(61914,61933) = 3834519762