What is the Least Common Multiple of 740 and 752?
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 740 and 752 is 139120.
LCM(740,752) = 139120
Least Common Multiple of 740 and 752 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 740 and 752, than apply into the LCM equation.
GCF(740,752) = 4
LCM(740,752) = ( 740 × 752) / 4
LCM(740,752) = 556480 / 4
LCM(740,752) = 139120
Least Common Multiple (LCM) of 740 and 752 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 740 and 752. First we will calculate the prime factors of 740 and 752.
Prime Factorization of 740
Prime factors of 740 are 2, 5, 37. Prime factorization of 740 in exponential form is:
740 = 22 × 51 × 371
Prime Factorization of 752
Prime factors of 752 are 2, 47. Prime factorization of 752 in exponential form is:
752 = 24 × 471
Now multiplying the highest exponent prime factors to calculate the LCM of 740 and 752.
LCM(740,752) = 24 × 51 × 371 × 471
LCM(740,752) = 139120
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