What is the Least Common Multiple of 74789 and 74802?

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 74789 and 74802 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74789 and 74802, than apply into the LCM equation.

GCF(74789,74802) = 13
LCM(74789,74802) = ( 74789 × 74802) / 13
LCM(74789,74802) = 5594366778 / 13
LCM(74789,74802) = 430335906

Least Common Multiple (LCM) of 74789 and 74802 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74789 and 74802. First we will calculate the prime factors of 74789 and 74802.

Prime Factorization of 74789

Prime Factorization of 74802

Now multiplying the highest exponent prime factors to calculate the LCM of 74789 and 74802.

LCM(74789,74802) = 11¹ × 13¹ × 523¹ × 2¹ × 3¹ × 7¹ × 137¹
LCM(74789,74802) = 430335906