What is the Least Common Multiple of 39208 and 39223?
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 39208 and 39223 is 1537855384.
LCM(39208,39223) = 1537855384
Least Common Multiple of 39208 and 39223 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39208 and 39223, than apply into the LCM equation.
GCF(39208,39223) = 1
LCM(39208,39223) = ( 39208 × 39223) / 1
LCM(39208,39223) = 1537855384 / 1
LCM(39208,39223) = 1537855384
Least Common Multiple (LCM) of 39208 and 39223 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 39208 and 39223. First we will calculate the prime factors of 39208 and 39223.
Prime Factorization of 39208
Prime factors of 39208 are 2, 13, 29. Prime factorization of 39208 in exponential form is:
39208 = 23 × 132 × 291
Prime Factorization of 39223
Prime factors of 39223 are 61, 643. Prime factorization of 39223 in exponential form is:
39223 = 611 × 6431
Now multiplying the highest exponent prime factors to calculate the LCM of 39208 and 39223.
LCM(39208,39223) = 23 × 132 × 291 × 611 × 6431
LCM(39208,39223) = 1537855384
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