What is the Least Common Multiple of 11658 and 11662?
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 11658 and 11662 is 67977798.
LCM(11658,11662) = 67977798
Least Common Multiple of 11658 and 11662 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11658 and 11662, than apply into the LCM equation.
GCF(11658,11662) = 2
LCM(11658,11662) = ( 11658 × 11662) / 2
LCM(11658,11662) = 135955596 / 2
LCM(11658,11662) = 67977798
Least Common Multiple (LCM) of 11658 and 11662 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 11658 and 11662. First we will calculate the prime factors of 11658 and 11662.
Prime Factorization of 11658
Prime factors of 11658 are 2, 3, 29, 67. Prime factorization of 11658 in exponential form is:
11658 = 21 × 31 × 291 × 671
Prime Factorization of 11662
Prime factors of 11662 are 2, 7, 17. Prime factorization of 11662 in exponential form is:
11662 = 21 × 73 × 171
Now multiplying the highest exponent prime factors to calculate the LCM of 11658 and 11662.
LCM(11658,11662) = 21 × 31 × 291 × 671 × 73 × 171
LCM(11658,11662) = 67977798
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