What is the Least Common Multiple of 670 and 676?
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 670 and 676 is 226460.
LCM(670,676) = 226460
Least Common Multiple of 670 and 676 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 670 and 676, than apply into the LCM equation.
GCF(670,676) = 2
LCM(670,676) = ( 670 × 676) / 2
LCM(670,676) = 452920 / 2
LCM(670,676) = 226460
Least Common Multiple (LCM) of 670 and 676 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 670 and 676. First we will calculate the prime factors of 670 and 676.
Prime Factorization of 670
Prime factors of 670 are 2, 5, 67. Prime factorization of 670 in exponential form is:
670 = 21 × 51 × 671
Prime Factorization of 676
Prime factors of 676 are 2, 13. Prime factorization of 676 in exponential form is:
676 = 22 × 132
Now multiplying the highest exponent prime factors to calculate the LCM of 670 and 676.
LCM(670,676) = 22 × 51 × 671 × 132
LCM(670,676) = 226460
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