What is the Least Common Multiple of 62354 and 62372?
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 62354 and 62372 is 1944571844.
LCM(62354,62372) = 1944571844
Least Common Multiple of 62354 and 62372 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62354 and 62372, than apply into the LCM equation.
GCF(62354,62372) = 2
LCM(62354,62372) = ( 62354 × 62372) / 2
LCM(62354,62372) = 3889143688 / 2
LCM(62354,62372) = 1944571844
Least Common Multiple (LCM) of 62354 and 62372 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62354 and 62372. First we will calculate the prime factors of 62354 and 62372.
Prime Factorization of 62354
Prime factors of 62354 are 2, 31177. Prime factorization of 62354 in exponential form is:
62354 = 21 × 311771
Prime Factorization of 62372
Prime factors of 62372 are 2, 31, 503. Prime factorization of 62372 in exponential form is:
62372 = 22 × 311 × 5031
Now multiplying the highest exponent prime factors to calculate the LCM of 62354 and 62372.
LCM(62354,62372) = 22 × 311771 × 311 × 5031
LCM(62354,62372) = 1944571844
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