What is the Least Common Multiple of 3037 and 3050?
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 3037 and 3050 is 9262850.
LCM(3037,3050) = 9262850
Least Common Multiple of 3037 and 3050 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3037 and 3050, than apply into the LCM equation.
GCF(3037,3050) = 1
LCM(3037,3050) = ( 3037 × 3050) / 1
LCM(3037,3050) = 9262850 / 1
LCM(3037,3050) = 9262850
Least Common Multiple (LCM) of 3037 and 3050 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 3037 and 3050. First we will calculate the prime factors of 3037 and 3050.
Prime Factorization of 3037
Prime factors of 3037 are 3037. Prime factorization of 3037 in exponential form is:
3037 = 30371
Prime Factorization of 3050
Prime factors of 3050 are 2, 5, 61. Prime factorization of 3050 in exponential form is:
3050 = 21 × 52 × 611
Now multiplying the highest exponent prime factors to calculate the LCM of 3037 and 3050.
LCM(3037,3050) = 30371 × 21 × 52 × 611
LCM(3037,3050) = 9262850
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