What is the Least Common Multiple of 77054 and 77062?

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 77054 and 77062 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77054 and 77062, than apply into the LCM equation.

GCF(77054,77062) = 2
LCM(77054,77062) = ( 77054 × 77062) / 2
LCM(77054,77062) = 5937935348 / 2
LCM(77054,77062) = 2968967674

Least Common Multiple (LCM) of 77054 and 77062 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77054 and 77062. First we will calculate the prime factors of 77054 and 77062.

Prime Factorization of 77054

Prime Factorization of 77062

Now multiplying the highest exponent prime factors to calculate the LCM of 77054 and 77062.

LCM(77054,77062) = 2¹ × 59¹ × 653¹ × 53¹ × 727¹
LCM(77054,77062) = 2968967674