What is the Least Common Multiple of 652 and 662?
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 652 and 662 is 215812.
LCM(652,662) = 215812
Least Common Multiple of 652 and 662 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 652 and 662, than apply into the LCM equation.
GCF(652,662) = 2
LCM(652,662) = ( 652 × 662) / 2
LCM(652,662) = 431624 / 2
LCM(652,662) = 215812
Least Common Multiple (LCM) of 652 and 662 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 652 and 662. First we will calculate the prime factors of 652 and 662.
Prime Factorization of 652
Prime factors of 652 are 2, 163. Prime factorization of 652 in exponential form is:
652 = 22 × 1631
Prime Factorization of 662
Prime factors of 662 are 2, 331. Prime factorization of 662 in exponential form is:
662 = 21 × 3311
Now multiplying the highest exponent prime factors to calculate the LCM of 652 and 662.
LCM(652,662) = 22 × 1631 × 3311
LCM(652,662) = 215812
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