What is the Least Common Multiple of 26964 and 26983?
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 26964 and 26983 is 727569612.
LCM(26964,26983) = 727569612
Least Common Multiple of 26964 and 26983 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26964 and 26983, than apply into the LCM equation.
GCF(26964,26983) = 1
LCM(26964,26983) = ( 26964 × 26983) / 1
LCM(26964,26983) = 727569612 / 1
LCM(26964,26983) = 727569612
Least Common Multiple (LCM) of 26964 and 26983 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26964 and 26983. First we will calculate the prime factors of 26964 and 26983.
Prime Factorization of 26964
Prime factors of 26964 are 2, 3, 7, 107. Prime factorization of 26964 in exponential form is:
26964 = 22 × 32 × 71 × 1071
Prime Factorization of 26983
Prime factors of 26983 are 11, 223. Prime factorization of 26983 in exponential form is:
26983 = 112 × 2231
Now multiplying the highest exponent prime factors to calculate the LCM of 26964 and 26983.
LCM(26964,26983) = 22 × 32 × 71 × 1071 × 112 × 2231
LCM(26964,26983) = 727569612
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