What is the Least Common Multiple of 649 and 658?
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 (LCM) of 649 and 658 is 427042.
LCM(649,658) = 427042
Least Common Multiple of 649 and 658 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 649 and 658, than apply into the LCM equation.
GCF(649,658) = 1
LCM(649,658) = ( 649 × 658) / 1
LCM(649,658) = 427042 / 1
LCM(649,658) = 427042
Least Common Multiple (LCM) of 649 and 658 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 649 and 658. First we will calculate the prime factors of 649 and 658.
Prime Factorization of 649
Prime factors of 649 are 11, 59. Prime factorization of 649 in exponential form is:
649 = 111 × 591
Prime Factorization of 658
Prime factors of 658 are 2, 7, 47. Prime factorization of 658 in exponential form is:
658 = 21 × 71 × 471
Now multiplying the highest exponent prime factors to calculate the LCM of 649 and 658.
LCM(649,658) = 111 × 591 × 21 × 71 × 471
LCM(649,658) = 427042
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