What is the Least Common Multiple of 10037 and 10048?
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 10037 and 10048 is 100851776.
LCM(10037,10048) = 100851776
Least Common Multiple of 10037 and 10048 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10037 and 10048, than apply into the LCM equation.
GCF(10037,10048) = 1
LCM(10037,10048) = ( 10037 × 10048) / 1
LCM(10037,10048) = 100851776 / 1
LCM(10037,10048) = 100851776
Least Common Multiple (LCM) of 10037 and 10048 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 10037 and 10048. First we will calculate the prime factors of 10037 and 10048.
Prime Factorization of 10037
Prime factors of 10037 are 10037. Prime factorization of 10037 in exponential form is:
10037 = 100371
Prime Factorization of 10048
Prime factors of 10048 are 2, 157. Prime factorization of 10048 in exponential form is:
10048 = 26 × 1571
Now multiplying the highest exponent prime factors to calculate the LCM of 10037 and 10048.
LCM(10037,10048) = 100371 × 26 × 1571
LCM(10037,10048) = 100851776
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