What is the Least Common Multiple of 78774 and 78787?

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 78774 and 78787 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78774 and 78787, than apply into the LCM equation.

GCF(78774,78787) = 1
LCM(78774,78787) = ( 78774 × 78787) / 1
LCM(78774,78787) = 6206367138 / 1
LCM(78774,78787) = 6206367138

Least Common Multiple (LCM) of 78774 and 78787 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78774 and 78787. First we will calculate the prime factors of 78774 and 78787.

Prime Factorization of 78774

Prime Factorization of 78787

Now multiplying the highest exponent prime factors to calculate the LCM of 78774 and 78787.

LCM(78774,78787) = 2¹ × 3¹ × 19¹ × 691¹ × 78787¹
LCM(78774,78787) = 6206367138