What is the Least Common Multiple of 94773 and 94787?

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 94773 and 94787 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94773 and 94787, than apply into the LCM equation.

GCF(94773,94787) = 7
LCM(94773,94787) = ( 94773 × 94787) / 7
LCM(94773,94787) = 8983248351 / 7
LCM(94773,94787) = 1283321193

Least Common Multiple (LCM) of 94773 and 94787 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94773 and 94787. First we will calculate the prime factors of 94773 and 94787.

Prime Factorization of 94773

Prime Factorization of 94787

Now multiplying the highest exponent prime factors to calculate the LCM of 94773 and 94787.

LCM(94773,94787) = 3¹ × 7¹ × 4513¹ × 11¹ × 1231¹
LCM(94773,94787) = 1283321193