What is the Least Common Multiple of 1910 and 1920?
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 1910 and 1920 is 366720.
LCM(1910,1920) = 366720
Least Common Multiple of 1910 and 1920 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1910 and 1920, than apply into the LCM equation.
GCF(1910,1920) = 10
LCM(1910,1920) = ( 1910 × 1920) / 10
LCM(1910,1920) = 3667200 / 10
LCM(1910,1920) = 366720
Least Common Multiple (LCM) of 1910 and 1920 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 1910 and 1920. First we will calculate the prime factors of 1910 and 1920.
Prime Factorization of 1910
Prime factors of 1910 are 2, 5, 191. Prime factorization of 1910 in exponential form is:
1910 = 21 × 51 × 1911
Prime Factorization of 1920
Prime factors of 1920 are 2, 3, 5. Prime factorization of 1920 in exponential form is:
1920 = 27 × 31 × 51
Now multiplying the highest exponent prime factors to calculate the LCM of 1910 and 1920.
LCM(1910,1920) = 27 × 51 × 1911 × 31
LCM(1910,1920) = 366720
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