What is the Least Common Multiple of 653 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 653 and 662 is 432286.
LCM(653,662) = 432286
Least Common Multiple of 653 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 653 and 662, than apply into the LCM equation.
GCF(653,662) = 1
LCM(653,662) = ( 653 × 662) / 1
LCM(653,662) = 432286 / 1
LCM(653,662) = 432286
Least Common Multiple (LCM) of 653 and 662 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 653 and 662. First we will calculate the prime factors of 653 and 662.
Prime Factorization of 653
Prime factors of 653 are 653. Prime factorization of 653 in exponential form is:
653 = 6531
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 653 and 662.
LCM(653,662) = 6531 × 21 × 3311
LCM(653,662) = 432286
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