What is the Least Common Multiple of 3641 and 3658?
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 3641 and 3658 is 13318778.
LCM(3641,3658) = 13318778
Least Common Multiple of 3641 and 3658 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3641 and 3658, than apply into the LCM equation.
GCF(3641,3658) = 1
LCM(3641,3658) = ( 3641 × 3658) / 1
LCM(3641,3658) = 13318778 / 1
LCM(3641,3658) = 13318778
Least Common Multiple (LCM) of 3641 and 3658 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 3641 and 3658. First we will calculate the prime factors of 3641 and 3658.
Prime Factorization of 3641
Prime factors of 3641 are 11, 331. Prime factorization of 3641 in exponential form is:
3641 = 111 × 3311
Prime Factorization of 3658
Prime factors of 3658 are 2, 31, 59. Prime factorization of 3658 in exponential form is:
3658 = 21 × 311 × 591
Now multiplying the highest exponent prime factors to calculate the LCM of 3641 and 3658.
LCM(3641,3658) = 111 × 3311 × 21 × 311 × 591
LCM(3641,3658) = 13318778
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