What is the Least Common Multiple of 9850 and 9862?
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 9850 and 9862 is 48570350.
LCM(9850,9862) = 48570350
Least Common Multiple of 9850 and 9862 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9850 and 9862, than apply into the LCM equation.
GCF(9850,9862) = 2
LCM(9850,9862) = ( 9850 × 9862) / 2
LCM(9850,9862) = 97140700 / 2
LCM(9850,9862) = 48570350
Least Common Multiple (LCM) of 9850 and 9862 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9850 and 9862. First we will calculate the prime factors of 9850 and 9862.
Prime Factorization of 9850
Prime factors of 9850 are 2, 5, 197. Prime factorization of 9850 in exponential form is:
9850 = 21 × 52 × 1971
Prime Factorization of 9862
Prime factors of 9862 are 2, 4931. Prime factorization of 9862 in exponential form is:
9862 = 21 × 49311
Now multiplying the highest exponent prime factors to calculate the LCM of 9850 and 9862.
LCM(9850,9862) = 21 × 52 × 1971 × 49311
LCM(9850,9862) = 48570350
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