What is the Least Common Multiple of 32620 and 32627?
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 32620 and 32627 is 152041820.
LCM(32620,32627) = 152041820
Least Common Multiple of 32620 and 32627 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32620 and 32627, than apply into the LCM equation.
GCF(32620,32627) = 7
LCM(32620,32627) = ( 32620 × 32627) / 7
LCM(32620,32627) = 1064292740 / 7
LCM(32620,32627) = 152041820
Least Common Multiple (LCM) of 32620 and 32627 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 32620 and 32627. First we will calculate the prime factors of 32620 and 32627.
Prime Factorization of 32620
Prime factors of 32620 are 2, 5, 7, 233. Prime factorization of 32620 in exponential form is:
32620 = 22 × 51 × 71 × 2331
Prime Factorization of 32627
Prime factors of 32627 are 7, 59, 79. Prime factorization of 32627 in exponential form is:
32627 = 71 × 591 × 791
Now multiplying the highest exponent prime factors to calculate the LCM of 32620 and 32627.
LCM(32620,32627) = 22 × 51 × 71 × 2331 × 591 × 791
LCM(32620,32627) = 152041820
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