What is the Least Common Multiple of 77034 and 77052?

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 77034 and 77052 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77034 and 77052, than apply into the LCM equation.

GCF(77034,77052) = 6
LCM(77034,77052) = ( 77034 × 77052) / 6
LCM(77034,77052) = 5935623768 / 6
LCM(77034,77052) = 989270628

Least Common Multiple (LCM) of 77034 and 77052 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77034 and 77052. First we will calculate the prime factors of 77034 and 77052.

Prime Factorization of 77034

Prime Factorization of 77052

Now multiplying the highest exponent prime factors to calculate the LCM of 77034 and 77052.

LCM(77034,77052) = 2² × 3¹ × 37¹ × 347¹ × 6421¹
LCM(77034,77052) = 989270628