What is the Least Common Multiple of 26612 and 26630?
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 26612 and 26630 is 354338780.
LCM(26612,26630) = 354338780
Least Common Multiple of 26612 and 26630 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26612 and 26630, than apply into the LCM equation.
GCF(26612,26630) = 2
LCM(26612,26630) = ( 26612 × 26630) / 2
LCM(26612,26630) = 708677560 / 2
LCM(26612,26630) = 354338780
Least Common Multiple (LCM) of 26612 and 26630 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26612 and 26630. First we will calculate the prime factors of 26612 and 26630.
Prime Factorization of 26612
Prime factors of 26612 are 2, 6653. Prime factorization of 26612 in exponential form is:
26612 = 22 × 66531
Prime Factorization of 26630
Prime factors of 26630 are 2, 5, 2663. Prime factorization of 26630 in exponential form is:
26630 = 21 × 51 × 26631
Now multiplying the highest exponent prime factors to calculate the LCM of 26612 and 26630.
LCM(26612,26630) = 22 × 66531 × 51 × 26631
LCM(26612,26630) = 354338780
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