What is the Least Common Multiple of 77330 and 77349?

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 77330 and 77349 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77330 and 77349, than apply into the LCM equation.

GCF(77330,77349) = 19
LCM(77330,77349) = ( 77330 × 77349) / 19
LCM(77330,77349) = 5981398170 / 19
LCM(77330,77349) = 314810430

Least Common Multiple (LCM) of 77330 and 77349 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77330 and 77349. First we will calculate the prime factors of 77330 and 77349.

Prime Factorization of 77330

Prime Factorization of 77349

Now multiplying the highest exponent prime factors to calculate the LCM of 77330 and 77349.

LCM(77330,77349) = 2¹ × 5¹ × 11¹ × 19¹ × 37¹ × 3¹ × 23¹ × 59¹
LCM(77330,77349) = 314810430