What is the Least Common Multiple of 77838 and 77843?

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 77838 and 77843 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77838 and 77843, than apply into the LCM equation.

GCF(77838,77843) = 1
LCM(77838,77843) = ( 77838 × 77843) / 1
LCM(77838,77843) = 6059143434 / 1
LCM(77838,77843) = 6059143434

Least Common Multiple (LCM) of 77838 and 77843 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77838 and 77843. First we will calculate the prime factors of 77838 and 77843.

Prime Factorization of 77838

Prime Factorization of 77843

Now multiplying the highest exponent prime factors to calculate the LCM of 77838 and 77843.

LCM(77838,77843) = 2¹ × 3¹ × 12973¹ × 17¹ × 19¹ × 241¹
LCM(77838,77843) = 6059143434