What is the Least Common Multiple of 47037 and 47050?
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 47037 and 47050 is 2213090850.
LCM(47037,47050) = 2213090850
Least Common Multiple of 47037 and 47050 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47037 and 47050, than apply into the LCM equation.
GCF(47037,47050) = 1
LCM(47037,47050) = ( 47037 × 47050) / 1
LCM(47037,47050) = 2213090850 / 1
LCM(47037,47050) = 2213090850
Least Common Multiple (LCM) of 47037 and 47050 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 47037 and 47050. First we will calculate the prime factors of 47037 and 47050.
Prime Factorization of 47037
Prime factors of 47037 are 3, 15679. Prime factorization of 47037 in exponential form is:
47037 = 31 × 156791
Prime Factorization of 47050
Prime factors of 47050 are 2, 5, 941. Prime factorization of 47050 in exponential form is:
47050 = 21 × 52 × 9411
Now multiplying the highest exponent prime factors to calculate the LCM of 47037 and 47050.
LCM(47037,47050) = 31 × 156791 × 21 × 52 × 9411
LCM(47037,47050) = 2213090850
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